A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations
DOI10.1016/j.cma.2022.114895OpenAlexW4226081348MaRDI QIDQ2136728
Ivan Yotov, Sergio Caucao, Segundo Villa-Fuentes, Ricardo Oyarzúa
Publication date: 12 May 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.114895
Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Forced convection (76R05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Numerical discretization of a Darcy-Forchheimer model
- A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
- Numerical analysis of a dual-mixed problem in non-standard Banach spaces
- A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model
- Theory and practice of finite elements.
- Mixed element method for two-dimensional Darcy-Forchheimer model
- Fully discrete mixed finite element approximations for non-Darcy flows in porous media
- A new staggered DG method for the Brinkman problem robust in the Darcy and Stokes limits
- Flow and transport in fractured poroelastic media
- A pseudocompressibility method for the incompressible Brinkman-Forchheimer equations.
- On continuous dependence on coefficients of the Brinkman-Forchheimer equations
- Generalized multiscale approximation of a multipoint flux mixed finite element method for Darcy-Forchheimer model
- A Simple Introduction to the Mixed Finite Element Method
- Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
- A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem
- An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
- Mixed and Hybrid Finite Element Methods
- Finite Element Approximation of the p-Laplacian
- Approximation of the unsteady Brinkman‐Forchheimer equations by the pressure stabilization method
- Mixed finite element methods for generalized Forchheimer flow in porous media
- Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- New development in freefem++
- A conforming mixed finite element method for the Navier–Stokes/Darcy–Forchheimer coupled problem
- A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations
- A Banach space mixed formulation for the unsteady Brinkman–Forchheimer equations
- A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
- Algorithm 832
- A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
This page was built for publication: A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations